Argon is compressed in a polytropic process with $n=1\mathrm{.}2$ from $120$ kPa and $10C$ to $820$ kPa in a piston$-$cylinder device. Determine the work produced and heat transferred during this compression process, in $k\frac{J}{k}g.$ The properties of argon are $R=0\mathrm{.}2081k\frac{J}{k}g*K$ and Table A$-2$a$).$

A piston$-$cylinder device contains $4$ kg of argon at $250$ kPa and $35C.$ During a quasiequilibrium, isothermal expansion process, $13\mathrm{.}00$ kJ of boundary work is done by the system and $3$ kJ of paddle$-$wheel work is done on the system. Determine the heat transfer for this process.